A Multi-Dimensional Lieb-Schultz-Mattis Theorem

Simple item page
dc.creatorNachtergaele, Bruno
dc.creatorSims, Robert
dc.date2006-08-18
dc.date2007-12-27
dc.date.accessioned2026-07-07T08:51:21Z
dc.date.available2026-07-07T08:51:21Z
dc.descriptionFor a large class of finite-range quantum spin models with half-integer spins, we prove that uniqueness of the ground state implies the existence of a low-lying excited state. For systems of linear size L, of arbitrary finite dimension, we obtain an upper bound on the excitation energy (i.e., the gap above the ground state) of the form (C\log L)/L. This result can be regarded as a multi-dimensional Lieb-Schultz-Mattis theorem and provides a rigorous proof of a recent result by Hastings.
dc.descriptionfinal version
dc.identifierhttps://arxiv.org/abs/math-ph/0608046
dc.identifierhttp://arxiv.org/abs/math-ph/0608046
dc.identifierCommun. Math. Phys. 276 (2007) 437--472
dc.identifierdoi:10.1007/s00220-007-0342-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144906
dc.subjectMathematical Physics
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Physics
dc.subject82B10; 82B20
dc.titleA Multi-Dimensional Lieb-Schultz-Mattis Theorem
dc.typetext

Files

Collections

arXiv